Answer: 5x+3
Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.
Answer:
4
Step-by-step explanation:
:)
The ratio of the months with 30 days to the months with other than 30 days is 4 : 7.
<h3>Definition of ratio </h3>
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
<h3>The ratio of the months with 30 days to the months with other than 30 days</h3>
There are 4 months that have 30 days and 1 month that has 28 days. The months with more than 31 days is 7 months.
The ratio is 4 : 7.
To learn more about ratios, please check: brainly.com/question/25927869
The remainder theorem says that the remainder upon dividing a polynomial
by a linear polynomial
is the same as the value of
at
. Dividing by any linear polynomial will always result in the following:
where
and
are also polynomials. Taking
, the term involving
vanishes, so that
is exactly the remainder upon dividing.
Via synthetic division, we have
... | 2 -9 7 -5 11
4 | 8 -4 12 28
- - - - - - - - - - - - - - - - - -
... | 2 -1 3 7 39
which translates to
that is, we're left with a remainder of 39.
Via the remainder theorem, we have
as expected.
ANSWER
83
EXPLANATION
This method makes use of a system of equations
Let x be the tens-place digit
Let y be the ones-place digit
(therefore, x and y are positive integers between 0 and 9 inclusive as they represent digits)
Then this two digit number is 10x + y
"Multiplying it by itself gives 6889" implies
(10x + y)(10x + y) = 6889
or just
(10x + y)² = 6889
Square root both sides.
Note that √(10x + y)² = 10x + y since x and y are positive and √6889 is 83
10x + y = 83
Now use the other information to make another equation
The sum of its digits is 11 so
x + y = 11
We have a system of equations as x and y must satisfy both equations for the question conditions to be met:
10x + y = 83 ... (I)
x + y = 11 ... (II)
This can be solved using elimination. Multiplying (II) by -1 to aim to get rid of y, we get
10x + y = 83 ... (I)
- x - y = -11 ... (II)
Adding the two equations, we get
(10x - x) + (y - y) = (83 - 11)
which is
9x = 72
Divide both sides by 9 to get
x = 8
This is the tens digit.
Can use x + y = 11 ... (II) to figure out value of y,
x + y = 11
⇒ y = 11 - x
⇒ y = 11 - 8
⇒ y = 3
x = 8 and y = 3
x is the tens-place digit
y is the ones-place digit
The number is 83
